3657686900 has 144 divisors (see below), whose sum is σ = 9496058880. Its totient is φ = 1196467200.

The previous prime is 3657686873. The next prime is 3657686909. The reversal of 3657686900 is 96867563.

It is a super-2 number, since 2×3657686900² = 26757346916863220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a house number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3657686909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582946 + ... + 1585254.

Almost surely, 2^3657686900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3657686900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748029440).

3657686900 is an abundant number, since it is smaller than the sum of its proper divisors (5838371980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3657686900 is a wasteful number, since it uses less digits than its factorization.

3657686900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The square root of 3657686900 is about 60478.8136457719. The cubic root of 3657686900 is about 1540.7618229927.

The spelling of 3657686900 in words is "three billion, six hundred fifty-seven million, six hundred eighty-six thousand, nine hundred".